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The dual of a non-convex polyhedron is also a non-convex polyhedron. [2] ( By contraposition.) There are ten non-convex isotoxal polyhedra based on the quasiregular octahedron, cuboctahedron, and icosidodecahedron: the five (quasiregular) hemipolyhedra based on the quasiregular octahedron, cuboctahedron, and icosidodecahedron, and their five (infinite) duals:
Pages in category "Isohedral tilings" The following 76 pages are in this category, out of 76 total. ... Octagonal tiling; Order-1 digonal tiling; Order-2 apeirogonal ...
Similarly, a k-isohedral tiling has k separate symmetry orbits (it may contain m different face shapes, for m = k, or only for some m < k). [ 6 ] ("1-isohedral" is the same as "isohedral".) A monohedral polyhedron or monohedral tiling ( m = 1) has congruent faces, either directly or reflectively, which occur in one or more symmetry positions.
A rhombic dodecahedron is an isohedral and isotoxal polyhedron A great icosidodecahedron is an isogonal and isotoxal star polyhedron A great rhombic triacontahedron is an isohedral and isotoxal star polyhedron The trihexagonal tiling is an isogonal and isotoxal tiling The rhombille tiling is an isohedral and isotoxal tiling with p6m (*632 ...
The following other wikis use this file: Usage on ang.wikipedia.org Seoxecge; Usage on es.wikipedia.org Hexágono; Teselado hexagonal; Usage on gl.wikipedia.org
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If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1273 ahead. Let's start with a few hints.
In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.